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On the Discretization of a Class of Homogeneous Differentiators

Abstract : This paper proposes explicit and implicit discrete-time realizations for a class of homogeneous sliding-mode-based differentiators. The proposed approach relies on the exact discretization of the continuous differentiator. Also, it is demonstrated that the proposed implicit discretization always exists, is non-anticipative and unique. A numerical simulation shows the better performance of the implicit scheme over the proposed and the referenced explicit implementations.
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Jose Eduardo Carvajal Rubio, Alexander Loukianov, Juan Diego Sanchez-Torres, Michael Defoort. On the Discretization of a Class of Homogeneous Differentiators. 16th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE'19), Sep 2019, Mexico City, Mexico. pp.1-6, ⟨10.1109/ICEEE.2019.8884567⟩. ⟨hal-03519369⟩



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